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3 years ago

Simplify, answer should have only positive exponents.

Mathematics

1 answer:

vaieri [72.5K]3 years ago

8 0

$\dfrac{ab^4}{-2b^3} =\dfrac{ab^{4-3}}{-2} = -\dfrac{ab}{2} = -\dfrac{1}{2} ab$

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Point D is located on MN at (2,43). What ratio relates MD to DN?

Eva8 [605]

The ratio of MD to DN is equal to 2.

<h3>How to find the partition ratio for a line segment</h3>

In accordance with the image set aside, the locations of the points M and N are M(x, y) = (- 6, - 4) and N(x, y) = (6, 4), respectively. Now we determine the vectors associated to line segments MD and DN by vector sum:

<u>MD</u> = D(x, y) - M(x, y)

<u>MD</u> = (2, 4 / 3) - (- 6, - 4)

<u>MD</u> = (8, 16 / 3)

<u>DN</u> = N(x, y) - D(x, y)

<u>DN</u> = (6, 4) - (2, 4 / 3)

<u>DN</u> = (4, 8 / 3)

Lastly, we find the length of each line segment by Pythagorean theorem:

MD = √[8² + (16 / 3)²]

MD = (8 / 3)√13

DN = √[4² + (8 / 3)²]

DN = (4 / 3)√13

And the ratio of MD to DN is:

MD / DN = [(8 / 3)√13] / [(4 / 3)√13]

MD / DN = 2

The ratio of MD to DN is equal to 2.

<h3>Remark</h3>

The statement presents typing mistakes, we kindly present the correct form below:

<em>Point D is located on line segment MN at (2, 4 / 3). What ratio relates MD to DN?</em>

To learn more on line ratios: brainly.com/question/3148758

#SPJ1

4 0

1 year ago

Find the expansion of cos x about the point x=0

ycow [4]

Answer:

Cos x = 1 - $\frac{x^2}{2!}$ + $\frac{x^4}{4!}$ - $\frac{x^6}{1!}$ + ...

Step-by-step explanation:

We use Taylor series expansion to answer this question.

We have to find the expansion of cos x at x = 0

f(x) = cos x, f'(x) = -sin x, f''(x) = -cos x, f'''(x) = sin x, f''''(x) = cos x

Now we evaluate them at x = 0.

f(0) = 1, f'(0) = 0, f''(0) = -1, f'''(0) = 0, f''''(0) = 1

Now, by Taylor series expansion we have

f(x) = f(a) + f'(a)(x-a) + $\frac{f''(a)(x-a)^2}{2!}$ + $\frac{f'''(a)(x-a)^3}{3!}$ + $\frac{f''''(a)(x-a)^4}{4!}$ + ...

Putting a = 0 and all the values from above in the expansion, we get,

Cos x = 1 - $\frac{x^2}{2!}$ + $\frac{x^4}{4!}$ - $\frac{x^6}{1!}$ + ...

8 0

3 years ago

What is 34÷6837 show ur work

Iteru [2.4K]

Answer:

Step-by-step explanation:

If you're allowed to use a calculator, type in 34, the division symbol, 6837, and finally enter:

34 / 6837 = 0.00497

7 0

2 years ago

Read 2 more answers

Product of 6 and 6r and the product of 8s and 4

dezoksy [38]

Product tells us we’re going to multiply.

6 x 6r = 36r

8s x 4 = 32s

We don’t have a number value to substitute in for r or s, so we just leave those variables as they are.

LMK if you have questions

4 0

2 years ago

There are two precalculus sections at a high school. Mr. Abel's class has 14 girls and 8 boys, while Mr. Bonitz's class has 1

Gemiola [76]

Answer:

14/46

Step-by-step explanation:

4 0

3 years ago